Answer:
To solve the system of equations using elimination, we need to eliminate one variable by adding or subtracting the equations. Let's start by rearranging the first equation in standard form:
2x - 7y = 16
Next, let's rearrange the second equation so that both equations have the same number of x or y terms:
3y = 7 - x
We can rewrite this equation as:
x + 3y = 7
Now we have the following system of equations:
2x - 7y = 16
x + 3y = 7
To eliminate the y variable, we can multiply the second equation by 7:
7(x + 3y) = 7(7)
This gives us:
7x + 21y = 49
Now we can subtract the first equation from this equation:
(7x + 21y) - (2x - 7y) = 49 - 16
Simplifying the equation gives us:
7x + 21y - 2x + 7y = 33
Combining like terms, we get:
5x + 28y = 33
Now we have a new equation with only x and y terms. We can solve for one variable and substitute it back into either of the original equations to find the value of the other variable.
Explanation: